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labwork [276]
4 years ago
14

Find the maximum value of y = -2(x - 4)2 - 6.

Mathematics
1 answer:
aleksley [76]4 years ago
6 0

y = -2(x-4)2-6

= -4(x-4) - 6

= -4x + 16 -6

y = 10- 4x

now if x is positive, x >= 0

then max value of y will be when x will nr minimum

so max y = 10- 4×0 = 10

so y = 10 at x =0 for x >=0

if x < 0 then

y will be increasing as x gets increase towards more negative. so max of y will be decided when x reaches to max negative.

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Can you please solve this equation?
zmey [24]

x = -52 4/17
 the full answer in attachments

3 0
3 years ago
Find the measure of ∠b.
luda_lava [24]

Answer:

B. 38°

Step-by-step explanation:

The angles of a triangle add up to 180.

So, 62 + 80 + b will add up to 180.

First, we add 62 =80, which gives us 142.

The we subtract 142 from 180, which gives us 38.

6 0
3 years ago
a ball is dropped from the height of 64 feet. its height can be modeled by the function h(t)=-16t^2+64, where t is the time in s
puteri [66]

Answer:

It takes 1.323 seconds for the ball to fall by 36 feet

Step-by-step explanation:

The height of the ball dropped from a height of 64 ft is modeled by the equation:

h(t) = -16t² + 64 where t is the time in seconds.

To find the time it takes to fall 36 ft, we substitute h(t) too be 36 ft and then solve the resulting quadratic function.

Substituting h(t) to be 36 ft:

36 = -16t² + 64

multiply through by -1

-36 = 16t² - 64

add 36 to both sides

16t² -64 + 36 = -36 + 36

16t² - 28 = 0

add 28 to both sides

16t² - 28 + 28 = 0 +28

16t² = 28

Divide both sides by 28

16t²/16 = 28/16

t² = 1.75

Find squre root of both sides

√t² = √1.75

t = 1.323 seconds

It takes 1.323 seconds for the ball to fall by 36 feet

5 0
3 years ago
5d^9\4(d)^2. Simplify
Vesna [10]

Answer: <u>5d^7/4</u>

Step By Step:

d^2/d^2 = d^9-2

= 5d^9-2 / 4

= 5d^7/ 4

7 0
3 years ago
3(x-4) = 2(-2x + 1)<br>this is confusing me​
nata0808 [166]

Answer:

x = 2

Step-by-step explanation:

<em>Distribute</em>

3 (−4) = 2 (−2+1)

3 − 12 = 2 (-2x +1)

<em>Distrubute again</em>

3x - 12 = -4x + 2

<em>Add twelve to both sides of the equation</em>

<em>Simpfly</em>

3x = -4x + 14

<em>Add 4x to both sides of the equation</em>

<em>simpfly</em>

7x = 14

<em>Divide both sides of the equation by the same term</em>

<em>Simpfly</em>

x = 2

5 0
3 years ago
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